10 citations · 27 across the 26 of their papers we have counts for
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Proper -harmonic functions on the Thurston geometries
Sigmundur Gudmundsson, Anna Siffert
For any positive natural number we construct new explicit proper -harmonic functions on the celebrated -dimensional Thurston geometries $\Sol$, $\Nil$, $\SL2$, $\H…
Handle attachment and the normalized first eigenvalue
Henrik Matthiesen, Anna Siffert
We show that the first eigenvalue of a closed Riemannian surface normalized by the area can be strictly increased by attaching a cylinder or a cross cap. As a consequence we obtain…
Sharp asymptotics of the first eigenvalue on some degenerating surfaces
Henrik Matthiesen, Anna Siffert
We study sharp asymptotics of the first eigenvalue on Riemannian surfaces obtained from a fixed Riemannian surface by attaching a collapsing flat handle or cross cap to it. Through…
Escobar constants of planar domains
Asma Hassannezhad, Anna Siffert
We initiate the study of the higher-order Escobar constants , , on bounded planar domains . The Escobar constants of the unit disk and a family of polygon…